Unit 1 foundational skills homework 7 quadratic equations answer key

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Concept Review Topics

• A
• B
• C
• D
• E
• F
• G
• H
• I
• J
• K
• L
• M
• N
• O
• P
• Q
• R
• S
• T
• Y
• V
• W
• X
• Y
• Z

A

• AA Similarity
• AAS Postulate
• Absolute Value
• Accuracy and Error
• Absolute Value of a Complex Number
• Absolute Value Functions
• Absolute Value Inequalities
• Accuracy and Error
• Adding and Subtracting Complex Numbers
• Adding and Subtracting Decimals
• Adding and Subtracting Fractions with Like Denominators
• Adding and Subtracting Fractions with Negatives
• Adding and Subtracting Fractions with Unlike Denominators
• Adding and Subtracting Fractions
• Adding and Subtracting Matrices
• Adding and Subtracting Negatives
• Adding and Subtracting Rational Expressions with Like Denominators
• Adding and Subtracting Rational Expressions with Unlike Denominators
• Adding and Subtracting Vectors
• Adding Fractions with Like Denominators
• Adding Fractions with Unlike Denominators
• Adding Fractions
• Adding and Subtracting Polynomials
• Addition Rule of Probability
• Addition: Whole Numbers
• Additive Inverse
• Adjacent Angles
• Adjoint of a Matrix
• Advanced Factoring
• Alternate Exterior Angles
• Alternate Exterior Angles Theorem
• Alternate Interior Angles
• Alternate Interior Angles Theorem
• Altitude of a Triangle
• Amplitude and Period of Sine and Cosine Functions
• Angle Addition Postulate
• Angle-Angle Similarity
• Angle Bisector Theorem
• Angle Bisector
• Angle of Intersecting Chords Theorem
• Angle of Intersecting Secants Theorem
• Angle of Rotation
• Angle Sum Theorem
• Angles of Elevation and Depression
• Angles
• Arcs
• Area
• Area of a Circle
• Area of a Triangle
• Area Problem Solving
• Areas of Regular Polygons
• Arithmetic Sequences
• Arithmetic Series
• ASA Postulate
• Associative Property
• Associative Property of Matrices
• Asymptotes
• Augmented Matrices
• Axiom
• Axis of Symmetry of a Parabola

B

• Bar Graphs
• Base (Exponential Notation)
• Base (Logarithms)
• Base (Number Systems)
• Basic Operations
• Basic Trigonometric Identities
• Biconditional Statement
• Big and Small Numbers
• Binary Numbers
• Binomial Probability
• Binomials
• Binomial Series
• Binomial Theorem
• Bisectors in a Triangle
• Box and Whisker Plots

C

• Capacity
• Cartesian Plane
• Center and Variation of Data
• Center of Rotation
• Central Angles
• Centroid
• Choosing Appropriate Units of Measure
• Chord
• Circle
• Circle Graphs
• Circles Inscribed in Squares
• Circumcenter Theorem
• Circumference
• Cofunction and Odd-Even Identities
• Collinear Points
• Combinations
• Combined Variation
• Combining Like Terms with Exponents
• Combining Like Terms
• Common Difference
• Common Ratio
• Commutative Property
• Comparing and Ordering Integers
• Comparing Decimals
• Comparing Fractions
• Comparing Functions
• Comparing Linear, Polynomial, and Exponential Growth
• Comparing Quantities
• Compatible Matrices
• Complement of an Event
• Complementary Angles
• Completing the Square
• Complex Numbers
• Components of a Vector
• Composite Numbers
• Composition of Functions
• Compound Events
• Compound Inequalities
• Compound Interest
• Conditional Probability
• Conditional Statements
• Cone
• Congruent Angles
• Congruent Figures
• Congruent Segments
• Congruent Tangents and Circumscribed Polygons
• Congruent Triangles on the Coordinate Plane
• Congruent Triangles
• Conic Sections and Standard Forms of Equations
• Conjugates
• Conjunction
• Consecutive Interior Angles Theorem
• Consistent and Dependent Systems
• Constant Function
• Constant of Variation
• Converse, Inverse and Contrapositive
• Converse of Isosceles Triangle Theorem
• Converse of Pythagorean Theorem
• Convert between Systems
• Convert Units of Area and Volume
• Converting Fractions to Decimals
• Converting Fractions to Percent
• Converting Non Repeating Decimals to Fractions
• Converting Repeating Decimals to Fractions
• Coordinate Proofs
• Coplanar
• Correlation and Causal Relation
• Corresponding Angles
• Corresponding Angles Postulate
• Cosine Function
• Cosine
• Coterminal Angles
• Counter Example
• Cramer's Rule
• Cross Products
• Cross Sections
• Cubic Functions
• Customary Units
• Cylinder

D

• Decimals an Introduction
• Decimals, Adding and Subtracting
• Decimals, Multiplying and Dividing
• Decimals, Terminating and Repeating
• Decimals, Rounding
• Decimals and Percentages
• Degree (of a Monomial)
• Degree (of a Polynomial)
• Degree (of a Vertex)
• Degree Measure of an Angle
• Degree to Radian Measure
• Denominator
• Dependent Events
• Descartes Rule of Signs
• Describing the Graph of a Function
• Determinants
• Developing a Probability Distribution from Empirical Data
• Diagonals of Parallelograms
• Diameter
• Difference of Squares
• Different Bases
• Dilation
• Direct and Inverse Variation
• Direct Variation
• Directrix
• Discriminants
• Disjunction
• Distance between Parallel Lines
• Distance Formula in 3D
• Distance Formula
• Distributive Property of Matrices
• Distributive Property
• Dividing by a Fraction
• Dividing Complex Numbers
• Dividing Decimals
• Dividing Fractions
• Dividing Polynomials
• Dividing Rational Expressions
• Divisibility Tests
• Division Whole Numbers
• Domain and Range of Exponential and Logarithmic Functions
• Domain and Range of Rational Functions
• Domains
• Domain and Range
• Double-Angle and Half-Angle Identities

E

• e (the Number)
• Eccentricity
• Ellipse
• End Behavior of a Function
• Endvertex (Graph Theory)
• Equation of a Circle
• Equation of a Plane
• Equivalent Expressions
• Equivalent Fractions
• Equivalent Ratios
• Evaluating Expressions
• Even and Odd Functions
• Expected Value
• Experimental Probability
• Exponent Tables and Patterns
• Exponential Decay
• Exponential Functions
• Exponential Growth
• Exponential Regression
• Exponential to Logarithmic Form
• Exponents
• Exterior Angle Inequality
• Exterior Angle Theorem
• Extraneous Solutions

F

• Factor Theorem
• Factorials
• Factoring
• Factoring: a ≠ 1
• Factoring: b & c Positive
• Factoring: b Negative
• Factoring: c Negative
• Factoring by Grouping
• Factoring Monomials
• Factors
• Falling Objects
• Fibonacci Numbers
• Finding Arc Lengths
• Finding the Area of a Triangle Using Sine
• Finding the Equation of a Line from Its Graph
• Finding the Equation of a Parabola given Focus and Directrix
• Finite Differences
• Fitting Equations to Data
• Fitting Linear Equations to Data
• Focus of a Parabola
• Focus
• Formulas
• 45-45-90 Triangles
• Fraction Operations
• Fractions
• Frequency Distributions
• Functions Describing Behavior
• Functions: Graphs and Intersections
• Functions
• Fundamental Counting Principle
• Fundamental Theorem of Algebra

G

• Gathering Like Terms
• Geometric Mean
• Geometric Probability
• Geometric Sequences
• Geometric Series
• Golden Ratio
• Golden Rectangle
• Graphing Exponential and Logarithmic Functions
• Graphing Exponential Functions
• Graph Theory
• Graphing Cosine Function
• Graphing Functions of the Form x^n
• Graphing Inequalities in One Variable
• Graphing Linear Equations
• Graphing Linear Inequalities in Two Variables
• Graphing Logarithmic Functions
• Graphing Polygons
• Graphing Polynomial Functions
• Graphing Quadratic Equations Using Factoring
• Graphing Quadratic Equations Using the Axis of Symmetry
• Graphing Quadratic Equations Using Transformations
• Graphing Quadratic Equations
• Graphing Quadratic Inequalities
• Graphing Rational Functions
• Graphing Scale and Origin
• Graphing Sine Function
• Graphing Square Root Functions
• Graphing Systems of Linear Inequalities
• Graphing Tangent Function
• Greatest Common Factors (GCFs)
• Greatest Common Factor of Monomials

H

• Hexadecimal Numbers
• Histograms
• Horizontal Lines
• Hyperbolas
• Hypotenuse

I

• Identity Matrix
• i(imaginary unit)
• Improper Fractions
• Independent/Dependent Events
• Independent Events
• Indirect Proof
• Inductive Reasoning
• Inequalities
• Infinite Geometric Series
• Infinity
• Input-Output Tables
• Inscribed Angles
• Inscribing a Quadrilateral
• Integers
• Interpreting Data
• Interquartile
• Intersecting Chords Theorem
• Intersecting Chords
• Intersecting Secant-Tangent Theorem
• Intersecting Secants Theorem
• Interval Notation
• Inverse Functions
• Inverse Matrices
• Inverse Operations
• Inverse Trigonometric Functions
• Inverse Variation
• Irrational Numbers
• Irreducible Polynomials
• Isosceles Triangle Theorem

J

• Joint Variation

K

• Kite

L

• Latus Rectum
• Law of Cosines
• Law of Detachment
• Law of Sines
• Law of Syllogism
• Leading Coefficient Test
• Least Common Denominators (LCDs)
• Least Common Multiples (LCMs)
• Length
• Line Graphs
• Line of best fit
• Line of best fit(Eyeball Method)
• Line Plots
• Line Symmetry
• Linear Equations, Graphing
• Linear Equations, Solving
• Linear Equations, Systems of
• Linear Function
• Linear Pair
• Linear Programming
• Lines
• Logarithmic Functions
• Logarithmic to Exponential Form
• Logarithms
• Lowest Terms

M

• Magnitude and Direction of Vectors
• Major and Minor Axes of Conics
• Mapping Diagrams
• Matrices
• Matrix Dimensions
• Matrix Multiplication
• Matrix Row Operations
• Mean, Median and Mode
• Mean
• Median
• Medians of a Triangle
• Metric System
• Midpoint Formula
• Midsegment of a Trapezoid
• Mixed Expressions
• Mixed Numbers: Addition
• Mixed Numbers: Division
• Mixed Numbers: Multiplication
• Mixed Numbers: Subtraction
• Mixed Numbers
• Mode
• Monomials
• More on Hyperbolas
• Multiplication Rule of Probability
• Multiplication: Whole Numbers
• Multiplicative Inverse
• Multiplying a Fraction by a Fraction
• Multiplying a Fraction by an Integer
• Multiplying and Dividing with Decimals
• Multiplying and Dividing with Negatives
• Multiplying Complex Numbers
• Multiplying Decimals
• Multiplying Monomials
• Multiplying Polynomials
• Multiplying Rational Expressions
• Multiplying Vector by a Matrix
• Mutually Exclusive Events

N

• Natural Logarithm
• Natural Numbers
• Negation
• Negative Exponents
• Nets
• Normal Distribution of data
• nth Roots
• nth Term of a Geometric Sequence
• nth Term of an Arithmetic Sequence
• nth Term of a Sequence
• Number Line
• Number Systems
• Numerator

O

• Odds (Probability)
• One to One Functions
• Operations on Functions
• Operations on Mixed Numbers
• Operations on Sets
• Operations with Complex Numbers
• Operations with Decimals
• Operations with Fractions
• Operations with Negatives
• Opposites
• Ordered Pair
• Outliers
• Order of Operations

P

• Parabolas as Conic Sections
• Parabolas
• Parallel Lines and Proportionality
• Parallel Lines and Slopes
• Parallel Lines and Transversals
• Parallel Lines
• Parallel and Perpendicular Lines
• Parallelogram
• Parametric Equations
• Parent Graphs
• Partioning a Segment in a given Ratio
• Parts of an Expression
• Pascal's Triangle
• Percent
• Percentile
• Percent Increase and Decrease
• Percents and Decimals
• Percents and Fractions
• Perfect Numbers
• Perfect Squares
• Perimeter
• Perimeter, Area and Volume
• Periodic Functions
• Permutations
• Perpendicular Bisector
• Perpendicular Lines and Slopes
• Perpendicular Lines
• Perpendicular Transversal Theorem
• π (Pi)
• Piecewise-Defined Function
• Place Value: Decimals
• Place Value
• Planes
• Platonic Solids
• Point-Slope Form (of a Linear Equation)
• Polar Coordinates
• Polar Form of a Complex Number
• Polygon Exterior Angle Sum Theorem
• Polygon Interior Angles Sum Theorem
• Polygons
• Polyhedra
• Polynomial Function
• Polynomial with Complex Roots
• Power of a Power Property
• Power of a Product Property
• Power of a Quotient Property
• Power Series and Radius of Convergence
• Powers of 10
• Powers of i
• Prime and Composite Numbers
• Prime Factorization
• Prime Numbers
• Principal Value of a Square Root
• Prism
• Probability Distribution
• Probability Models
• Probability
• Product of a Sum and a Difference
• Product of Powers Property
• Properties of Addition
• Properties of Congruence
• Properties of Equality
• Properties of Exponents
• Properties of Inequality
• Properties of Multiplication
• Properties of Square Roots
• Proportional Relationships
• Proportions
• Pyramid
• Pythagorean Theorem
• Pythagorean Triples

Q

• Quadrants
• Quadratic Equations
• Quadratic Equations, Solving by Completing the Square
• Quadratic Equations, Solving by Factoring
• Quadratic Equations, Solving by Square Roots
• Quadratic Formula
• Quadratic Function
• Quadratic Regression
• Quadrilaterals
• Quartiles
• Quotient of Powers Property

R

• Radian Measure of an Angle
• Radian to Degree Measure
• Radical Expressions
• Radical Equations
• Radius of Convergence
• Radius
• Random Sampling
• Random Variable
• Range (of Data)
• Rate of Change
• Range (of a Function)
• Rate-Time-Distance Problems
• Rates and Ratios
• Rates
• Rational Equations
• Rational Exponents
• Rational Functions
• Rational Expressions
• Rational Numbers
• Rationalizing the Denominator by Multiplying by a Conjugate
• Rationalizing the Denominator
• Ratios
• Rays
• Real Numbers
• Real Zero of a Function
• Reciprocals
• Rectangle
• Recursive Sequence
• Reduced Radical Form
• Reducing Fractions
• Reference Angle
• Reflections
• Reflexive, Symmetric, Transitive Properties
• Relations
• Relatively Prime Numbers
• Remainder Theorem
• Repeated Zeros
• Representing Systems of Linear Equations using Matrices
• Repeating Decimals
• Rhombus
• Right Triangle Congruence
• Right Triangle Similarity
• Root
• Rotational Symmetry
• Rotations
• Rounding Decimals
• Rounding Numbers

S

• Sample Space
• SAS Inequality
• SAS Postulate
• SAS Similarity
• Scalar Multiplication of Matrices
• Scalar Multiplication of Vectors
• Scale Drawings
• Scale Factor
• Scalene Triangle
• Scatter Plots
• Scientific Notation
• Sectors
• Segments
• Segment Addition Postulate
• Sequence
• Series
• Sets
• Shortest Distance between a Point and a Circle
• Side-Angle-Side Similarity
• Side-Side-Side Similarity
• Sigma Notation of a Series
• Significant Digits
• Similar Figures
• Similar Triangles
• Simple Interest
• Simplest Form (of a Fraction)
• Simplifying Absolute Value Expressions
• Simplifying Expressions
• Simplifying Logarithmic Expressions
• Simplifying Radical Expressions Involving Products
• Simplifying Radical Expressions with Variables
• Simplifying Radical Expressions
• Simplifying Rational Expressions
• Simplifying Square Roots
• Sine Function
• Sine
• Slant Height of a Pyramid
• Slope
• Slope-Intercept Form (of a Linear Equation)
• Solution Sets
• Solving Absolute Value Equations
• Solving Equations: Basic
• Solving Equations
• Solving Exponential Equations using Logarithms
• Solving Exponential Equations
• Solving Linear Equations
• Solving Linear Inequalities
• Solving Linear Quadratic Systems
• Solving Logarithmic Equations
• Solving Matrix Equations
• Solving Multi-Step Linear Equations with Decimals
• Solving Multi-Step Linear Equations with Fractions
• Solving Multi-Step Linear Equations
• Solving One-Step Linear Equations: Addition
• Solving One-Step Linear Equations: Division
• Solving One-Step Linear Equations with Decimals
• Solving One-Step Linear Equations with Fractions
• Solving One-Step Linear Equations with Mixed Numbers: Addition
• Solving One-Step Linear Equations with Mixed Numbers: Division
• Solving One-Step Linear Equations with Mixed Numbers: Multiplication
• Solving One-Step Linear Equations with Mixed Numbers: Subtraction
• Solving One-Step Linear Equations with Mixed Numbers
• Solving One-Step Linear Equations
• Solving One-Step Linear Inequalities
• Solving One-Step Linear Equations: Multiplication
• Solving One-Step Linear Equations: Subtraction
• Solving Problems with Vectors
• Solving Quadratic Equations by Square Roots
• Solving Quadratic Equations using Factoring
• Solving Radical Equations
• Solving Rational Equations
• Solving Systems of Linear Equations Using Elimination
• Solving Systems of Linear Equations Using Graphing
• Solving Systems of Linear Equations
• Solving Systems of Linear Equations Using Matrices
• Solving Systems of Linear Equations Using Substitution
• Solving Trigonometric Equations using Algebraic Method
• Solving Trigonometric Equations using Trigonometric Identities
• Solving Two-Step Linear Equations with Decimals
• Solving Two-Step Linear Equations with Fractions
• Solving Two-Step Linear Equations
• Solving Two-Step Linear Inequalities
• Sphere
• Square
• Squares Circumscribed by Circles
• Square Matrix
• Square of a Binomial
• Square Roots
• sss Inequality
• sss Postulate
• sss Similarity
• Standard Deviation
• Standard Form (of a Linear Equation)
• Statistical Questions
• Stem-and-Leaf Plots
• Step Function
• Subsets
• Subtracting Fractions with Like Denominators
• Subtracting Fractions with Unlike Denominators
• Subtracting Fractions
• Subtraction: Whole Numbers
• Sum and Difference Identities
• Sum and Difference of Cubes
• Sum of the First n Terms of a Geometric Sequence
• Sum of the First n Terms of a Geometric Series
• Sum of the First n Terms of an Arithmetic Sequence
• Sum of the First n Terms of an Arithmetic Series
• Sum of the First n Terms of a Series
• Sum-to-Product and Product-to-Sum Identities
• Supplementary Angles
• Supplement Postulate
• Surface Area
• Surface Area of a Cone
• Surface Area of a Cylinder
• Surface Area of a Prism
• Surface Area of a Pyramid
• Surface Area of a Sphere
• Symbolic Logic
• Systems of Linear Equations
• Systems of Linear Inequalities

T

• Tangent Function
• Tangent of an Angle
• Tangent Line
• Tangent to a Circle
• Taylor Series
• Temperature
• Term of a Sequence
• Terminating and Repeating Decimals
• Tessellations
• 30-60-90 Triangles
• Traceability of Graphs
• Transcendental Numbers
• Transformation of Graphs using Matrices - Translation
• Transformation of Graphs using Matrices - Dilation
• Transformation of Graphs using Matrices - Reflection
• Transformation of Graphs using Matrices - Rotations
• Transformation of Graphs using Matrices
• Transformations of Functions
• Transformations of Graphs
• Translations
• Transversal
• Trapezoid
• Triangle Angle Bisector Theorem
• Triangle Inequality Theorem
• Triangle Midsegment Theorem
• Triangle Proportionality Theorem
• Triangles
• Trigonometric Functions
• Trigonometric Identities
• Trigonometric Ratios
• Trigonometric Values for Common Angles
• Two Dimensional Views of Three Dimensional Objects

U

• Unit Analysis
• Unit Rates
• Unit Vectors
• Using Expected Values to Make Decisions
• Using Probabilities to Make Fair Decisions

V

• Values of Trigonometric Ratios for Common Angles
• Values of Trigonometric Ratios for Standard Angles
• Variables
• Variance
• Variation of Data
• Vectors
• Venn Diagrams
• Vertex of a Parabola
• Vertical Angles
• Vertical Angles Theorem
• Vertical Line Test
• Vertical Lines
• Volume of a Cone
• Volume of a Cylinder
• Volume of a Prism
• Volume of a Pyramid
• Volume of a Sphere
• Volume

W

• Weight Mass
• Whole Numbers
• Word Problems: Area and Perimeter of a Rectangle
• Word Problems: Equivalent Expressions
• Word Problems: Expected Value
• Word Problems Inverse Variation
• Word Problems Involving Decimals
• Word Problems Involving Integers
• Word Problems Involving One Step Linear Equations
• Word Problems Involving the Distributive Property
• Word Problems Involving the Mean of a Data Set
• Word Problems Involving Percent
• Word Problems Two Step Linear Equations
• Word Problems Involving Width, Length and Area
• Word Problems: Linear Models
• Word Problems: Plotting Points
• Word Problems: Quadratic Equations
• Word Problems: Ratios
• Word Problems: Work and Workers
• Word Problems
• Writing Number Patterns in Function Notation
• Writing Systems of Linear Equations from Word Problems

X

• x-Intercepts of a Quadratic Function
• x-Intercepts

Y

• y-Intercepts a2 level
• y-Intercepts
• Yang Huis Triangle

Z

• Zero Exponents
• Zero to the Power of Zero
• Zero Product Property

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